activity
20082014
most citedQuantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry

18 citations · 56 across the 8 of their papers we have counts for

collaborators

12 papers

math-ph2014

Exact solutions of the Dirac Hamiltonian on the sphere under hyperbolic magnetic fields

Özlem Yeşiltaş

Two dimensional massless Dirac Hamiltonian under the influence of hyperbolic magnetic fields is mentioned in curved space. Using a spherical surface parametrization, the Dirac oper…

quant-ph2014★ 6 cited

Supersymmetric Analysis of the Dirac-Weyl Operator within PT Symmetry

Özlem Yeşiltaş

Two dimensional effective Hamiltonian for a massless Dirac electron interacting with a hyperbolic magnetic field is discussed within PT symmetry. Factorization method and polynomia…

quant-ph2014

Symmetric Hamiltonian Model and Exactly Solvable Potentials

Özlem Yeşiltaş

Searching for non-Hermitian (parity-time)-symmetric Hamiltonians \cite{bender} with real spectra has been acquiring much interest for fourteen years. In this article,…

math-ph2014★ 3 cited

Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry

Özlem Yeşiltaş, Nafiye Kaplan

We have obtained the metric operator for the non-Hermitian Hamiltonian model . We have also found the intertwining operator which conne…

math-ph2013★ 9 cited

Symmetric Hamiltonian Model and Dirac Equation in 1+1 dimensions

O. Yesiltas

In this article, we have introduced a symmetric non-Hermitian Hamiltonian model which is given as $\hat{\mathcal{H}}=ω(\hat{b}^†\hat{b}+1/2)+ α(\hat{b}^{2}-(\hat{b}^…

math-ph2011★ 18 cited

Quantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry

Özlem Yeşiltaş

Within the ideas of pseudo-supersymmetry, we have studied a non-Hermitian Hamiltonian $H_{-}=ω(ξ^† ξ+\1/2)+αξ^{2}+βξ^{†2}$, where and is a first order differential op…